Question

one angle is equal to 5/9 of its complemant​

Answer 1

$\huge\underline\mathtt\red{Answer\:}$

$\mathtt\blue{Let \: the \: angle \: be \: x\:}$

$\mathtt\blue{Then \: its \: compliment=90°-x\:}$

$\mathtt\blue{\frac{1}{5} ×x=\frac{x}{5}\:}$

$\mathtt\red{According \: to \: question:-\:}$

$\mathtt\blue{ => x+\frac{x}{5}=90\:}$

$\mathtt\blue{ => \frac{5x+x}{5}=90\:}$

$\mathtt\blue{ => {6x}=90×5\:}$

$\mathtt\blue{=>{6x}=450\:}$

$\mathtt\blue{=>x=\frac{450}{6}\:}$

$\mathtt\blue{=>x=75°\:}$

$\mathtt\red{Its \: compliment=90-x\:}$

$\mathtt\blue{90-75=15°\:}$

$\underline\mathtt\red{❥Hope \: it \: helps \: you......\:}</p><p>$